The distance from the bottom of a ladder to the wall it leans against is one-fourth of the length of the ladder. If the ladder is 12 feet long, how far up the wall will the ladder extend?
Answers
Answer:
The ladder will extend 11.6ft up the wall
Wall will the ladder extend 11.6 ft
What is Pythagoras theorem?The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Given
Length of the ladder = 12 ft
Distance from the bottom = 1/4 of length of the ladder
= [tex]\frac{1}{4}[/tex] × [tex]12[/tex]
= 3 ft
By using Pythagoras theorem
[tex]12^{2}=x^{2} +3^{2}[/tex]
[tex]x^{2} =144-9[/tex]
[tex]x^{2} =135[/tex]
[tex]x=\sqrt{135}[/tex]
[tex]x=[/tex] ± 11.6 ft
Hence, wall will the ladder extend 11.6 ft.
Find out more information about Pythagoras theorem here
https://brainly.com/question/343682
#SPJ2
Related Questions
What is a relation and what makes it different from a function
Answers
Step-by-step explanation
A relation is any set of ordered pairs. A function is a set of ordered pairs where there is only one value of y for every value of x.
hope this helps ;-)
Which of the following sets of numbers could be the side lengths ofa right triangle?
5, 12, 13
5, 5, 9
14, 14, 14
2,3, 5
Answers
Answer:
if the sum of any 2 sides is equal to or less than the third side it is Not a triangle.
So A :- we have 2+4 = 6 so its not a triangle.
also D is not a triangle because 8+3 < 12
what about B and C?
HOPE IT HELPED!
In Tampa the number of new houses built each month during the first half of the year decreased at a constant rate. During the second half of the year the number of new houses remained the same. Which graph best illustrates the numbers of houses built over the course of the year? 1l
Answers
Answer:
D or C I believe
Step-by-step explanation:
it says it was going down and then it stayed the same, but what confuses me is that the bottom says "month" so I cant tell now if its an error or its telling us it is still going down during the month year (C) so yeah good luck :,)
Temperature freezes at 0°C. Which of the following temperatures is below freezing?
Answers
Why does the narrator state that taking the road less traveled has made all the difference?
Answers
Answer:
See below
Step-by-step explanation:
The phrase itself is a famous few lines extracted from "The Road Not Taken" by poet Robert Frost. The statement "taking the road less traveled" means that someone is acting independently, freeing themselves from the conformity of others (who choose to take 'the road more often traveled.'), generally making their own choices, and perhaps leaving a new trail that will become the road more often traveled
Using the diagram below, find the length of BC.
Answers
which of these is expression is equivalent to z+z+z+z
Answers
Answer:
4z
Step-by-step explanation:
Answer:
4z
Step-by-step explanation:
z + z + z + z
~Combine like terms
4z
Best of Luck!
Find the distance between the points (-10, -4) and (-4,-4).
1049
8
6
4
2
-10
-8
-6
-4
-2
0
2
4
6
10
-2
(-4,-4)
-4
(-10-4
Answers
Answer:
im here for the points
Step-by-step explanation:
If there is 1 person who needs to talk and there are hundreds of others out there, how many will the person probably talk to?
Answers
Answer:
10
Step-by-step explanation:
Answer:
...........1 person...........
6. Two sides of a right triangle are 8" and 12".
A. Find the the area of the triangle if 8 and 12 are legs.
Answers
Answer:
a
Step-by-step explanation:
please help what is n
ill give brainliest
Answers
Answer:
90
Step-by-step explanation:
I used a protractor and my head and this is what I got
brainliest or whatnot just answer it
Answers
Answer:
the answer is y=2x-3
Step-by-step explanation:
4/2=2 slope
1-4= -3 y-intercept
hope this helps!
MARKING BRAINLIESTTT WHOEVER IS THE FIRST TO ANSWER AND GE IT RIGHT
Answers
Answer:
D is most possible or b either one
Step-by-step explanation:
BTW dont expect take my info to seriously but D or B
A recent poll suggests that 47% of American citizens are going to vote for candidate B
for president with a tolerance of 4.5%. Set up and solve an absolute value inequality to
determine the range of possible percentages the candidate could earn. (also add
step by step explanation
Answers
Answer:
Steps: 1) Isolate the absolute value on the LEFT Side of the equation ... 12) A recent poll suggests that 47% of American citizens are going to vote for the ... margin of error of £4.5%. Set up and solve an absolute value inequality to determine the range of possible ... determine if the Democratic candidate will win the election?
Step-by-step explanation:
The percentages candidate could earn falls in the range of absolute value inequality |47 - x| ≤ 4.5.
What is Absolute Value Inequality?Absolute value inequalities are kind of inequality expressions which includes the absolute value symbol in the expression.
For example : |x - 5| < 4 is an absolute value inequality.
Given that,
Percentage of American citizens going to vote for candidate B = 47%
Tolerance level = 4.5%
Suppose x be the percent of voters who will vote for candidate B.
Value of x can be,
47% + 4.5% = 51.5%
Or,
47% - 4.5% = 42.5%
The absolute value inequality for the situation is,
|47 - x| ≤ 4.5
Hence the absolute value inequality is |47 - x| ≤ 4.5.
To learn more Absolute Value Inequality, click on the link :
https://brainly.com/question/30201926
#SPJ2
The temperature in some region of Alaska equals 14 °F Convert this temperature to Celsius
Answers
Answer:
-10 degrees C
Step-by-step explanation:
what is the answer to..
Negative 10 is no less than 2 times a number plus 14
Answers
-24 ≥ 2x subtract 14 from both sides
2x ≤ -24 read right to left
x ≤ -12 divide both sides by 2
i hope this helped! <3
B. Identify the kind of algebraic expression and determine the degree, variables
and constant
Constant
Variables
Degree
Algebraic Expression
Type/kind
1. 7x + 4x3 - 17
2. 3abc2 + a2bc2-abc + 2
3. x + 2x2 - 6x3 + 9x4 +1
4. 3xyz2 + 12
5. 14
can u help me I'm from Philippines
Answers
9514 1404 393
Answer:
see the attachment
Step-by-step explanation:
There are no roots, fractional powers, or denominators containing variables, so each of these expressions is the sum of multiples of products of variables to integer powers. (One is a constant.) That makes each expression a polynomial. Some polynomials can be further classified by their degree.
The degree is the highest sum of powers of the variables in the terms. For example, the term a^2·b·c^2 has variables with powers 2, 1, and 2. The sum of those powers is 2+1+2 = 5, so this is a term of degree 5.
A constant is a term with no variables.
__
It is customary in algebra problems to use variables that are a single lower-case letter. Sometimes, a variable may be represented by a letter in uppercase, or in a special font or language (usually Greek). Sometimes, it may be a word or phrase. Here, we assume each variable is one letter, so xyz is the product of three variables.
Perhaps the table below answers the questions you are asking about these expressions.
PLEASEEEEEEE HELPPPPP!!!!!!!!
a) which line has a slope of 1/2?
b) which line has a slope of -3?
Answers
B) line k
There :)
Please tell me how to do it
Answers
Answer:
3 sqrt(13)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2 + 9^2 = c^2
36+81 = c^2
117 = c^2
Take the square root of each side
sqrt(117) = sqrt(c^2)
sqrt( 9*13) = c
sqrt(9) sqrt(13) =c
3 sqrt(13) =c
HEELLPPP!!!!! fastttt plzzzzz!
The sales for products sold at an electronic store are below. What percent of the products sold were speakers?
Answers
Answer:
6.00%
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Select the correct answer.
Which function passes through the points (2, 15) and (3, 26)?
A.
y = 11x + 7
B.
y = 11x − 7
C.
y = 7x + 11
D.
y = -11x − 7
E.
y = 7x − 11
Answers
Answer:
B. y = 11x - 7 passes through the points (2 , 15) and (3 , 26)
Step-by-step explanation:
M/6 = -9
answer m=?
Answer the ? Mark pls
Answers
Answer:
[tex]\frac{m}{6}[/tex] = -9 6 × (-9) = -54
Step-by-step explanation:
( c²- k³)2 is equivalent to the polynomial c4- c²k³+ k6.
Answers
Answer:
Step-by-step explanation:
false
c^4+k^6-2c^2k^3 is the right answer
A science experiment involves periodically measuring the number of mild cells present on a piece of bread at the start to the experiment
Answers
Answer:
A
Step-by-step explanation:
tiook
2) translation: 1 unit right and 2 units down
Answers
I :-4,-5
T : -4,-3
E : 0,-3
Write an equation of the line that passes through (0,5) and (4,5).
plssss
Answers
PlS HeLP!!!
what number makes this equation true?
_ ÷8=4
Answers
Answer:
32
Step-by-step explanation:
8 times 4 is 32
On a Monday, a meteorologist says that there is a 30% chance of rain. What is the probability that it will rain on Monday?
Answers
Answer:
70%
Step-by-step explanation:
ehhh dont know, my teacher told me
Melanie bought 4 gallons of slime and plans to sell
them in small jars that each hold 1/4 of a gallon. How
many small jars will Melanie fill with slime?
Answers
1. a rectangular room measures 10 feet by 12 feet. What is the area of the room?
2. What is the area of a rectangle with a base of 6 inches and height of 10 inches?
3. Travis is planting a rectangular garden that is 5 feet by 12 feet. One bag of soul covers 6 square feet. How many bags of soil does he need to cover the whole garden?
PLEASE HELP! PLEASE HELP!
Answers
Answers:
Area = 120 square feetArea = 60 square inchesHe needs 10 bags==================================================
Explanation:
For problems 1 and 2, we just multiply the base and height. This is the same as multiplying the length and width.
So in problem 1 we have 10*12 = 120 square feet. In problem 2 we have 6*10 = 60 square inches.
-----------------------
Problem 3 follows the same idea, but we do a bit more work. The area of the garden is 5*12 = 60 square feet.
Let's say x is the number of bags needed.
1 bag covers 6 square feet
2 bags cover 12 square feet
and so on
x of those bags cover 6x square feet. The x is just a placeholder for a number. Specifically, a positive whole number.
The expression 6x represents how much area that can be covered by x bags. We want to cover 60 square feet.
The equation we need to solve is 6x = 60. Doing so leads to x = 10 after dividing both sides by 6.
So this means Travis needs 10 bags.
